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Finding the Fourth Proportional to 232,000.42, 320,145.38 and 136,488.64

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Solution

The fourth proportional to 232,000.42, 320,145.38 and 136,488.64 is: 188,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,000.42 : 320,145.38 = 136,488.64 : x
  2. Step 2: Convert to fraction form
    232,000.42/320,145.38 = 136,488.64/x
  3. Step 3: Cross multiply
    232,000.42x = 320,145.38 × 136,488.64
  4. Step 4: Simplify right side
    232,000.42x = 43,696,207,518.48
  5. Step 5: Solve for x
    x = 43,696,207,518.48/232,000.42
  6. Step 6: Final answer
    x = 188,345.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.